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Finding the Fourth Proportional to 596.79, 822.83 and 492.30

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Solution

The fourth proportional to 596.79, 822.83 and 492.30 is: 678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.79 : 822.83 = 492.30 : x
  2. Step 2: Convert to fraction form
    596.79/822.83 = 492.30/x
  3. Step 3: Cross multiply
    596.79x = 822.83 × 492.30
  4. Step 4: Simplify right side
    596.79x = 405,076.75
  5. Step 5: Solve for x
    x = 405,076.75/596.79
  6. Step 6: Final answer
    x = 678.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.